Question

Find the quadratic equation if one of its roots is 2-✓5

Answer 1

Step-by-step explanation:

The general form of complete quadratic equation is ax^{2}+bx + c = 0ax

2

+bx+c=0

Where, Sum of the roots, r_{1}+r_{2}r

1

+r

2

= \dfrac{-b}{a}

a

−b

Here, the given equation is x^{2}-5x+6=0x

2

−5x+6=0

So, the value of b = -5, a = 1b=−5,a=1, r_{1} = 2r

1

=2, r_{2}= ?r

2

=?

2 +2+ r_{2}r

2

== \dfrac{-(-5)}{1}

1

−(−5)

r_{2}r

2

= 5 - 2=5−2

r_{2}r

2

= 3=3